Atkin-Lehner |
2+ 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666w |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
26614800553146624 = 28 · 32 · 72 · 138 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-247082,-46636900] |
[a1,a2,a3,a4,a6] |
Generators |
[-2378:7203:8] |
Generators of the group modulo torsion |
j |
345608484635233/5513953536 |
j-invariant |
L |
4.5954796191231 |
L(r)(E,1)/r! |
Ω |
0.21434308859792 |
Real period |
R |
5.359957776471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001894 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9282x2 |
Quadratic twists by: 13 |